On a sum rule for Schr\"odinger operators with complex potentials
Mathematical Physics
2010-02-11 v3 math.MP
Spectral Theory
Abstract
We study the distribution of eigenvalues of the one-dimensional Schr\"odinger operator with a complex valued potential . We prove that if decays faster than the Coulomb potential, then the series of imaginary parts of square roots of eigenvalues is convergent.
Keywords
Cite
@article{arxiv.0903.2267,
title = {On a sum rule for Schr\"odinger operators with complex potentials},
author = {Oleg Safronov},
journal= {arXiv preprint arXiv:0903.2267},
year = {2010}
}